Extended Ratios

Multiple Choice

What is the first step in solving this proportion?

• 4x = 6(7x + 2)

• 6x = 4(7x + 2)

• 4x = 42x + 2

• 13x = 4x + 2

Multiple Choice

What is the next step in solving this equation?

• subtract 4x from both sides

• subtract 42x from both sides

• divide 4x from both sides

• divide by 42 from both sides

Multiple Choice

Solve the proportion.

• $$x=-\frac{6}{19}$$

• $$x=\frac{6}{19}$$

• $$x=\frac{19}{6}$$

• $$x=38$$

Match

Match the following

• supplementary

• complementary

• sum of angles in a polygon

adds to 180

adds to 90

180(n - 2)

• adds to 180

• adds to 90

• 180(n - 2)

Math Response

The measure of the angles of a triangle are in the extended ratio of 1:4:7. What is the measure of the smallest angle?

Type answer here

Correct Answer: 15

Deg^°

Rad

Math Response

A recipe uses brown sugar, white sugar, and flour in the extended ratio 2:3:6. How many cups of white sugar are needed to make a recipe with a total of 22 cups?

Type answer here

Correct Answer: 6

Deg^°

Rad

Math Response

The measures of two complementary angles are in the ratio of 2:3. What is the measure of the larger angle?

Type answer here

Correct Answer: 54

Deg^°

Rad

Math Response

There are 340 sophomores at a high school. The ratio of boys to girls is 1:3. How many sophomores are girls?

Type answer here

Correct Answer: 255

Deg^°

Rad

Math Response

The sides of a rectangle are in a ratio 9:10 width to length. The perimeter of the rectangle is 152 inches. What is the length of the rectangle?

Type answer here

Correct Answer: 40

Deg^°

Rad